3 papers
math.AG2026
Compact Kähler contact manifolds
Jie Liu
We prove that a non-projective compact Kähler contact manifold is of the form , where is a compact Kähler manifold.
math.AG2025
Optimal upper bound for degrees of canonical Fano threefolds of Picard number one
Chen Jiang, Haidong Liu, Jie Liu
We show that for a -factorial canonical Fano -fold of Picard number , . The main tool is a Kawamata--Miyaoka type inequality which relates $(-…
math.AG2025
Kawamata-Miyaoka-type inequality for -Fano varieties with canonical singularities II: Terminal -Fano threefolds
Haidong Liu, Jie Liu
We prove an optimal Kawamata-Miyaoka-type inequality for terminal -Fano threefolds with Fano index at least . As an application, any terminal -Fano threefo…